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Finding the Fourth Proportional to 100,000.72, 138,005.28 and 54,676

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Solution

The fourth proportional to 100,000.72, 138,005.28 and 54,676 is: 75,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,000.72 : 138,005.28 = 54,676 : x
  2. Step 2: Convert to fraction form
    100,000.72/138,005.28 = 54,676/x
  3. Step 3: Cross multiply
    100,000.72x = 138,005.28 × 54,676
  4. Step 4: Simplify right side
    100,000.72x = 7,545,576,689.28
  5. Step 5: Solve for x
    x = 7,545,576,689.28/100,000.72
  6. Step 6: Final answer
    x = 75,455.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.